Efficient Decision-Making by Volume-Conserving Physical Object

TL;DR

This paper introduces a novel physical decision-making method using volume-conserving objects, demonstrating higher efficiency than traditional algorithms for stochastic reward optimization.

Contribution

It presents a new physical approach to decision-making leveraging volume-conserving objects, validated through analytical calculations showing improved efficiency.

Findings

Higher decision-making efficiency compared to conventional algorithms

Effective for selecting most profitable options with stochastic rewards

Analytical validation supports the method's statistical advantages

Abstract

We demonstrate that any physical object, as long as its volume is conserved when coupled with suitable operations, provides a sophisticated decision-making capability. We consider the problem of finding, as accurately and quickly as possible, the most profitable option from a set of options that gives stochastic rewards. These decisions are made as dictated by a physical object, which is moved in a manner similar to the fluctuations of a rigid body in a tug-of-war game. Our analytical calculations validate statistical reasons why our method exhibits higher efficiency than conventional algorithms.